A Berry-Esseen type limit theorem for Boolean convolution

被引：4
|
作者：
Arizmendi, Octavio [1 ]
Salazar, Mauricio [1 ]
机构：
[1] Ctr Invest Matemat, Guanajuato, Mexico
来源：
ARCHIV DER MATHEMATIK | 2018年 / 111卷 / 01期
关键词：
Boolean convolution; Boolean central limit theorem; Levy distance; Berry-Esseen theorem;
D O I：
10.1007/s00013-018-1171-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give estimates on the rate of convergence on the Boolean central limit theorem for the L,vy distance. In the case of measures with bounded support, we obtain a sharp estimate by giving a qualitative description of this convergence.
引用
收藏
页码：101 / 111
页数：11
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